I asked someone at pro-ject if I could use the same weight I use on my VPI Classic on the carbon TT and he said NO, too heavy for that TT. So, yes. Not every TT is built to handle those weights.
Turntable weight affects speed
I tried a Thorens tt weight on my Thorens TD-850 belt-drive tt. It noticeably slowed it down. It seems like extra weight on the bearing would affect any tt, but what do I know? Is a speed control (and strobe/test pattern) generally required to use a turntable weight while maintaining the proper speed?